A curve with equation y=a(x+b)2+cy = a(x + b)^2 + cy=a(x+b)2+c has b=−3b=-3b=−3 and c=8c=8c=8.
State the coordinates of the minimum turning point.
When the curve is translated by the vector (−40)\begin{pmatrix} -4 \\ 0 \end{pmatrix}(−40) and a=15\displaystyle a=\frac{1}{5}a=51, verify that the curve passes through the point (−6,13)(-6, 13)(−6,13).
211 exam-style questions on Edexcel A Level Maths Quadratics, covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics. Each one has a worked solution and a mark scheme showing where the marks go.